Determine the value of c such that the work done by the force field F(x, y) 15 (4 xy)i xyj on an object moving along the parabolic path y c(1 x) between the points ( 1,0) and (1, 0) is a minimum Compare the result with the work required to move the object along the straight line path connecting the points

Question: Determine the value of c such that the work done by the force field F(x, y) = 15[(4 - xy)i xyj] on an object

Determine the value of c such that the work done by the force field F(x, y) = 15[(4 - x²y)i — xyj] on an object moving along the parabolic path y = c(1 - x²) between the points (-1,0) and (1, 0) is a minimum. Compare the result with the work required to move the object along the straight-line path connecting the points.

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